Online GCD Calculator is useful to find the GCD of 489, 513, 380, 376 quickly. Get the easiest ways to solve the greatest common divisor of 489, 513, 380, 376 i.e 1 in different methods as follows.
Given Input numbers are 489, 513, 380, 376
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
GCD of numbers is the greatest common divisor
So, the GCD (489, 513, 380, 376) = 1.
Given numbers are 489, 513, 380, 376
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 376 are 2 x 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 489, 513, 380, 376
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 513) = 83619
GCD(489, 513) = ( 489 x 513 ) / 83619
= 489 / 513
= 489
Step2:
LCM(3, 380) = 1140
GCD(3, 380) = ( 3 x 380 ) / 1140
= 3 / 380
= 3
Step3:
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
= 1 / 376
= 1
So, Greatest Common Divisor of 489, 513, 380, 376 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 513, 380, 376
The greatest common divisor of numbers 489, 513, 380, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 513, 380, 376 is 1.
1. What is the GCD of 489, 513, 380, 376?
GCD of given numbers 489, 513, 380, 376 is 1
2. How to calculate the greatest common divisor of 489, 513, 380, 376?
We can find the highest common divisor of 489, 513, 380, 376 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 489, 513, 380, 376 i.e 1.
3. How can I use the GCD of 489, 513, 380, 376Calculator?
Out the numbers 489, 513, 380, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.